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Finding the Fourth Proportional to 35,527.98, 53,290.75 and 9,232.95

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Solution

The fourth proportional to 35,527.98, 53,290.75 and 9,232.95 is: 13,849.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,527.98 : 53,290.75 = 9,232.95 : x
  2. Step 2: Convert to fraction form
    35,527.98/53,290.75 = 9,232.95/x
  3. Step 3: Cross multiply
    35,527.98x = 53,290.75 × 9,232.95
  4. Step 4: Simplify right side
    35,527.98x = 492,030,830.21
  5. Step 5: Solve for x
    x = 492,030,830.21/35,527.98
  6. Step 6: Final answer
    x = 13,849.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.